Pith Number

pith:TY3KDOFA

pith:2013:TY3KDOFAKT65RMNVBXIO5KJGW5

not attested not anchored not stored refs pending

Characterizations of graded Pr\"ufer $\star$-multiplication domains

Parviz Sahandi

arxiv:1307.3861 v2 · 2013-07-15 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TY3KDOFAKT65RMNVBXIO5KJGW5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:31:36.219860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e36a1b8a054fdd8b1b50dd0eea926b75cba097e27ac53e01ccdf22978f09805

Aliases

arxiv: 1307.3861 · arxiv_version: 1307.3861v2 · doi: 10.48550/arxiv.1307.3861 · pith_short_12: TY3KDOFAKT65 · pith_short_16: TY3KDOFAKT65RMNV · pith_short_8: TY3KDOFA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TY3KDOFAKT65RMNVBXIO5KJGW5 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9e36a1b8a054fdd8b1b50dd0eea926b75cba097e27ac53e01ccdf22978f09805

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42e37d6f8ae2dd99933cf0567d2b34fa4e0dd295959d42435907440a47f5915e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-07-15T09:24:38Z",
    "title_canon_sha256": "9460c04808a6a2721365c42c77248867550e9980cfd5afee42fd2279098c5c4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3861",
    "kind": "arxiv",
    "version": 2
  }
}